The bride at the wedding in St. Pete Beach, Fla., looked stunning in a strapless designer dress with gold lace overlay. The groom struck a casual, cool style in a blue suit, no tie and blue sneakers. But when the wedding procession began, all eyes were on a shaggy pair of fellows outfitted in lavender tuxedo-bibs.

Llamas, to be exact—one caramel-colored and one white. The llamas were a wedding day surprise arranged by groom Garette Ziem for his wife to be, Kim Dalton, who finds them entertaining and calming. When the two...